Results 31 to 40 of about 3,034,641 (146)
L-optimal transportation for Ricci flow [PDF]
We introduce the notion of L-optimal transportation, and use it to construct a natural monotonic quantity for Ricci flow which includes a selection of other monotonicity results, including some key discoveries of Perelman [13] (both related to entropy ...
Topping, Peter
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Ricci flow coupled with harmonic map flow [PDF]
07.02.13 KB. Accepted version ok to add to Spiral. SMF/SherpaWe investigate a new geometric flow which consists of a coupled system of the Ricci flow on a closed manifold M with the harmonic map flow of a map phi from M to some closed target manifold N ...
Reto Müller, Müller, Reto, Müller, R
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The stability inequality for Ricci-flat cones [PDF]
In this article, we thoroughly investigate the stability inequality for Ricci-flat cones. Perhaps most importantly, we prove that the Ricci-flat cone over CP^2 is stable, showing that the first stable non-flat Ricci-flat cone occurs in the smallest ...
Haslhofer, Robert +2 more
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The Log-Sobolev inequality for a submanifold in manifolds with asymptotic non-negative intermediate Ricci curvature [PDF]
We prove a sharp Log-Sobolev inequality for submanifolds of a complete non-compact Riemannian manifold with asymptotic non-negative intermediate Ricci curvature and Euclidean volume growth.
Lee, Jihye, Ricci, Fabio
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Modified Ricci flow on a principal bundle [PDF]
textLet M be a Riemannian manifold with metric g, and let P be a principal G-bundle over M having connection one-form a. One can define a modified version of the Ricci flow on P by fixing the size of the fiber.
Young, Andrea Nicole, 1979-
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The volume entropy of a surface decreases along the Ricci flow [PDF]
The volume entropy, h(g), of a compact Riemannian manifold (M,g) measures the growth rate of the volume of a ball of radius R in its universal cover.
Manning, Anthony, ANTHONY MANNING
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Statistical Solitons and Inequalities for Statistical Warped Product Submanifolds
Warped products play crucial roles in differential geometry, as well as in mathematical physics, especially in general relativity. In this article, first we define and study statistical solitons on Ricci-symmetric statistical warped products R ×
Aliya Naaz Siddiqui +2 more
doaj +1 more source
Recent Developments on the First Chen Inequality in Differential Geometry
One of the most fundamental interests in submanifold theory is to establish simple relationships between the main extrinsic invariants and the main intrinsic invariants of submanifolds and find their applications.
Bang-Yen Chen, Gabriel-Eduard Vîlcu
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The Architecture of Consolidation: Nests of Corporate Control in the Agrochemical Network
ABSTRACT Research on agricultural consolidation tends to equate corporate control with the dominance of a few large firms. We take an alternative approach that examines control through the explosive growth of legally distinct firms that fragment accountability. Using a new global dataset of 6982 entities linked to BASF, Bayer, Corteva, Dow, DuPont, FMC,
Loka Ashwood +5 more
wiley +1 more source
Ricci curvature inequalities for warped product skew CR-submanifolds in Cosymplectic space forms
<p>The main objective of this paper is to achieve the Chen-Ricci inequality for skew CR-warped product submanifold isometrically immersed in a Cosymplectic space form in the expressions of the squared norm of mean curvature vector and warping ...
Talal Al-Rashidi, Ayaed Al-Waqmi, Meraj A. Khan, Mugrin Bin Abdullah and Abdul Latif Al-balawi
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